Ergodicity of Ek/G/1 Queueing System
Ek/G/1排队系统的遍历性

In this paper, the authors study $E_k/G/1$ queueing system via drift criterion and petite set. The sufficient and necessary conditions of Harris ergodicity, $l$-ergodicity and geometric ergodicity of queue length $L(t)$ are obtained, and the authors prove that it is not uniformly ergodicity.